In a strongly driven nanomechanical mode, ring-down in the rotating frame is non-exponential: the in-phase component initially decays at about twice the rate of the quadrature, as a Duffing model with a dominant second harmonic predicts.
Damping of Nanomechanical Resonators
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abstract
We study the transverse oscillatory modes of nanomechanical silicon nitride strings under high tensile stress as a function of geometry and mode index m <= 9. Reproducing all observed resonance frequencies with classical elastic theory we extract the relevant elastic constants. Based on the oscillatory local strain we successfully predict the observed mode-dependent damping with a single frequency independent fit parameter. Our model clarifies the role of tensile stress on damping and hints at the underlying microscopic mechanisms.
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Non-Exponential Relaxation in the Rotating Frame of a Driven Nanomechanical Mode
In a strongly driven nanomechanical mode, ring-down in the rotating frame is non-exponential: the in-phase component initially decays at about twice the rate of the quadrature, as a Duffing model with a dominant second harmonic predicts.